Google allows employees to spend 20% of their time at work (one day a week or one hour a day) on something they are passionate about learning. The philosophy behind this initiative is that the best ideas come from individual curiosity, and the opportunity to pursue one’s own interests. This philosophy, I think, beautifully captures our "How might we" question.
Students CHOOSE their project - what do they want to learn? How to dance? How to crochet? Another language? A sport? Once they decide, they pitch the idea, get it approved, and create a blog to post updates and evidence of their learning.